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A q-Legendre Operational Matrix Framework for the Schwarzian KdV Equation under Möbius Periodic Boundary Conditions: Spectral Accuracy and a Boundary-Induced Finite-Time Blow-up Diagnosis

2026-08-07

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<title>Abstract</title> In this study, the Schwarzian Korteweg–de Vries (sKdV) equation, a characteristic member of the theory of integrable systems, is investigated under Möbius periodic boundary conditions in order to model soliton dynamics in topologically twisted atomic lattice structures such as carbon nanorings, silicon chains and boron nitride. The spatial dimension is discretized by an operational matr...

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Literature Corpus work: 53c93062-c7d1-53ea-aa63-d5d929317228
DOI: 10.21203/rs.3.rs-10195664/v1

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A q-Legendre Operational Matrix Framework for the Schwarzian KdV Equation under Möbius Periodic Boundary Conditions: Spectral Accuracy and a Boundary-Induced Finite-Time Blow-up DiagnosisDOI 10.21203/rs.3.rs-10195664/v1Read

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